Ehrenfest theorem

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Overview

Paul Ehrenfest Derivative Expectation values Operator Quantum mechanical

15 related topics

Derivation of the Schrödinger equation from the Ehrenfest theorems

Stone's theorem Canonical commutation relation Derivation of the Koopman–von Neumann mechanics Hilbert space Classical mechanics

5 related topics

General example

Particle Potential Product rule Newton's second law

4 related topics

Derivation in the Schrödinger picture

Quantum state Schrödinger equation Hermitian

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Overview

Paul Ehrenfest
Derivative
Expectation values Expectation value (quantum mechanics)
Operator Operator (physics)
Quantum mechanical Quantum mechanics
Commutator
Hamiltonian Hamiltonian (quantum mechanics)
Expectation value
Heisenberg picture
Correspondence principle
Liouville's theorem Liouville's theorem (Hamiltonian)
Hamiltonian mechanics
Poisson bracket
Dirac's rule of thumb Canonical quantization
Approximately Moyal bracket

Derivation in the Schrödinger picture

General example

Derivation of the Schrödinger equation from the Ehrenfest theorems

Stone's theorem Stone's theorem on one-parameter unitary groups
Canonical commutation relation
Derivation of the Koopman–von Neumann mechanics Koopman–von Neumann classical mechanics
Hilbert space
Classical mechanics

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Nodes32

Edges31

Triples23

Avg. degree1.94

Density0.0625

Components1

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Ehrenfest theorem

Top relations

related to Derivation of the Schrödinger equation from the Ehrenfest theorems · 13

Ehrenfest theorem → Application, Big, Ehrenfest, Hamiltonian, Here, However, It, Psi, Schrödinger, Since, Stone's, The, We

related to Relation to classical physics · 9

Ehrenfest theorem → Although, An, Ehrenfest, If, In, Newton's, The, This, Thus

is a · 1

Ehrenfest theorem → special case of a more general relation between the expectation of any quantum mechanical operator and the expectation of the commutator of that operator with the Hamiltonian of…

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Important terminology

displaystyle rangle frac langle right quantum left classical partial theorem expectation ehrenfest hamiltonian dt equation hbar time value commutator momentum

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Ehrenfest theorem	is a	special case of a more general relation between the expectation of any quantum mechanical operator and the expectation of the commutator of that operator with the Hamiltonian of…	0.90	text
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	It	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	Ehrenfest	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	Schrödinger	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	However	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	We	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	Psi	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	Application	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	Big	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	Here	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	Stone's	0.60	section
Ehrenfest theorem	related to Derivation of the Schrödinger equation from the Ehrenfest theorems	The	0.60	section

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Overview

Derivation of the Schrödinger equation from the Ehrenfest theorems

General example

Derivation in the Schrödinger picture

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Overview

Derivation in the Schrödinger picture

General example

Derivation of the Schrödinger equation from the Ehrenfest theorems

Advanced semantic analysis

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Ehrenfest theorem

How this topic connects Entity context

Ehrenfest theorem

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges